{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VKT55LWSRCOPS7PBO2QKRVJKAE","short_pith_number":"pith:VKT55LWS","canonical_record":{"source":{"id":"1008.3765","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-08-23T07:47:25Z","cross_cats_sorted":[],"title_canon_sha256":"922948e0d44defb7e8dcc33f4e1758fe49dc10a4ebc5ef669471fe657270d3d2","abstract_canon_sha256":"e99409f3e7f11ca5dbe7d275f0138b19cafc4e6e2e40688649818b6ce35fdf31"},"schema_version":"1.0"},"canonical_sha256":"aaa7deaed2889cf97de176a0a8d52a01318bc526e01cc339ba01579607cc4a27","source":{"kind":"arxiv","id":"1008.3765","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3765","created_at":"2026-05-18T04:03:07Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3765v1","created_at":"2026-05-18T04:03:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3765","created_at":"2026-05-18T04:03:07Z"},{"alias_kind":"pith_short_12","alias_value":"VKT55LWSRCOP","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VKT55LWSRCOPS7PB","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VKT55LWS","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VKT55LWSRCOPS7PBO2QKRVJKAE","target":"record","payload":{"canonical_record":{"source":{"id":"1008.3765","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-08-23T07:47:25Z","cross_cats_sorted":[],"title_canon_sha256":"922948e0d44defb7e8dcc33f4e1758fe49dc10a4ebc5ef669471fe657270d3d2","abstract_canon_sha256":"e99409f3e7f11ca5dbe7d275f0138b19cafc4e6e2e40688649818b6ce35fdf31"},"schema_version":"1.0"},"canonical_sha256":"aaa7deaed2889cf97de176a0a8d52a01318bc526e01cc339ba01579607cc4a27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:07.313738Z","signature_b64":"Dr/0KiZlO69vz99IOVhSne7t0dSjlC5fvgnghPyO+E6a/X9tuAIE16AV4flVURuwrc6lHp9f0luTsGoYLUOgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aaa7deaed2889cf97de176a0a8d52a01318bc526e01cc339ba01579607cc4a27","last_reissued_at":"2026-05-18T04:03:07.312904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:07.312904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.3765","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:03:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V/oTpzmSfUbqERVxzMAmnvJjSRWodTVSXQw5KMR8kU0njvo3FTxfW6hIEDvT/1omMWHTwm5KBYNaxcRfaoIiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:32:52.899395Z"},"content_sha256":"693ec831f9d49842c27a8d27856f309c1eede928c80cf2cc441db70c045bf7e7","schema_version":"1.0","event_id":"sha256:693ec831f9d49842c27a8d27856f309c1eede928c80cf2cc441db70c045bf7e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VKT55LWSRCOPS7PBO2QKRVJKAE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polynomials of the best uniform approximation to sgn(x) on two intervals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Alexandre Eremenko, Peter Yuditskii","submitted_at":"2010-08-23T07:47:25Z","abstract_excerpt":"We describe polynomials of the best uniform approximation to sgn(x) on the union of two intervals in terms of special conformal mappings. This permits us to find the exact asymptotic behavior of the error of this approximation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3765","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:03:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s4Ld2EBsSOebcdlxMlqgGNerug/VQHxRpm1s9lv+FmVYJFLefNyX3d1X1NTd7WrVApNhJc1oN80xKDcyWBK7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:32:52.900081Z"},"content_sha256":"fe782d2739eb55d0907f865f38afff451a9612187777766cb59a282af9eba3a5","schema_version":"1.0","event_id":"sha256:fe782d2739eb55d0907f865f38afff451a9612187777766cb59a282af9eba3a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VKT55LWSRCOPS7PBO2QKRVJKAE/bundle.json","state_url":"https://pith.science/pith/VKT55LWSRCOPS7PBO2QKRVJKAE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VKT55LWSRCOPS7PBO2QKRVJKAE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-29T14:32:52Z","links":{"resolver":"https://pith.science/pith/VKT55LWSRCOPS7PBO2QKRVJKAE","bundle":"https://pith.science/pith/VKT55LWSRCOPS7PBO2QKRVJKAE/bundle.json","state":"https://pith.science/pith/VKT55LWSRCOPS7PBO2QKRVJKAE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VKT55LWSRCOPS7PBO2QKRVJKAE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VKT55LWSRCOPS7PBO2QKRVJKAE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e99409f3e7f11ca5dbe7d275f0138b19cafc4e6e2e40688649818b6ce35fdf31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-08-23T07:47:25Z","title_canon_sha256":"922948e0d44defb7e8dcc33f4e1758fe49dc10a4ebc5ef669471fe657270d3d2"},"schema_version":"1.0","source":{"id":"1008.3765","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3765","created_at":"2026-05-18T04:03:07Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3765v1","created_at":"2026-05-18T04:03:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3765","created_at":"2026-05-18T04:03:07Z"},{"alias_kind":"pith_short_12","alias_value":"VKT55LWSRCOP","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VKT55LWSRCOPS7PB","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VKT55LWS","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:fe782d2739eb55d0907f865f38afff451a9612187777766cb59a282af9eba3a5","target":"graph","created_at":"2026-05-18T04:03:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We describe polynomials of the best uniform approximation to sgn(x) on the union of two intervals in terms of special conformal mappings. This permits us to find the exact asymptotic behavior of the error of this approximation.","authors_text":"Alexandre Eremenko, Peter Yuditskii","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-08-23T07:47:25Z","title":"Polynomials of the best uniform approximation to sgn(x) on two intervals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3765","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:693ec831f9d49842c27a8d27856f309c1eede928c80cf2cc441db70c045bf7e7","target":"record","created_at":"2026-05-18T04:03:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e99409f3e7f11ca5dbe7d275f0138b19cafc4e6e2e40688649818b6ce35fdf31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-08-23T07:47:25Z","title_canon_sha256":"922948e0d44defb7e8dcc33f4e1758fe49dc10a4ebc5ef669471fe657270d3d2"},"schema_version":"1.0","source":{"id":"1008.3765","kind":"arxiv","version":1}},"canonical_sha256":"aaa7deaed2889cf97de176a0a8d52a01318bc526e01cc339ba01579607cc4a27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aaa7deaed2889cf97de176a0a8d52a01318bc526e01cc339ba01579607cc4a27","first_computed_at":"2026-05-18T04:03:07.312904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:07.312904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dr/0KiZlO69vz99IOVhSne7t0dSjlC5fvgnghPyO+E6a/X9tuAIE16AV4flVURuwrc6lHp9f0luTsGoYLUOgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:07.313738Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.3765","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:693ec831f9d49842c27a8d27856f309c1eede928c80cf2cc441db70c045bf7e7","sha256:fe782d2739eb55d0907f865f38afff451a9612187777766cb59a282af9eba3a5"],"state_sha256":"1fc192b1065a1d78a337729316957aa39b7e662200e3f7c945b6f85f161770b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+E/QQUv6Q6kZPQkhQD+YGBIfjZs04YNbmDsuNUau2hPdzgmd5mCoJwqP3sjl0fD3Om4S3LX8CtCLkctRC6GvCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T14:32:52.903687Z","bundle_sha256":"734ee4336b2c8ab904deb7cb98a31151ce036c2f6982403d38630d2a19c47739"}}